![]() |
fx(u,v) = 3*cos(u) + 5*cos(3*u) + 3*(cos(u)\ +5*cos(3*u))*cos(v)/(2*sqrt(234+90*cos(2*u)))\ -3*cos(6*u)*(sin(u)+5*sin(3*u))*sin(v)\ /((2*sqrt(13+5*cos(2*u)))*sqrt(22+5*cos(2*u)+9*cos(12*u))) fy(u,v) = 3*sin(u) + 5*sin(3*u) + 3*(sin(u)\ +5*sin(3*u))*cos(v)/(2*sqrt(234+90*cos(2*u)))\ +3*(5*cos(3*u)+cos(5*u)+cos(7*u)+5*cos(9*u))*sin(v)\ /((4*sqrt(13+5*cos(2*u)))*sqrt(22+5*cos(2*u)+9*cos(12*u))) fz(u,v) = 3*sin(6*u)\ - sqrt(13+5*cos(2*u))*sin(v)/(2*sqrt(22+5*cos(2*u)+9*cos(12*u))) set parametric set samples 120 set ur [0:2*pi] set vr [0:2*pi] set xyplane 0 # 'set ticslevel 0' is obsolute unset key set style line 100 lt 1 lw 0.1 lc rgb "navy" set pm3d hidden3d 100 depthorder set palette defined ( 0 "navy", 1 "light-green") set term pngcairo enh font "Times,8" size 480,280 set out "3dparam_knot.png" splot fx(u,v),fy(u,v),fz(u,v) w pm3d |